1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anit [1.1K]
3 years ago
8

A triangle has an area of 36 square feet. If the height of the triangle is 6 more feet than its base, what is its height and bas

e?
Mathematics
1 answer:
andriy [413]3 years ago
7 0
If b is the base then the height h=b+6. As we have S=bh/2 then
36=b(b+6)/2;
b²+6b-72=0;
D/4=3²+72=81
b₁=-3-9=-12
b₂=-3+9=6.
The base is always positive so b=6, h=6+6=12.
Answer: base=6 ft, height=12 ft.

You might be interested in
Maria earned $126 in simple interest from her savings account. If she invested $450 for 7 years what was the interest rate?
RSB [31]
The answer is B. You didn't mention compounding, so I have to assume that this is simple interest. The formula for simple interest is 
<span>Interest = principal * interest rate expressed as a decimal * time in years. </span>
<span>$126 = $450 * X * 7. Now multiply $450 * 7 years = $3,150 </span>
<span>$126 = 3,150X </span>

<span>What has been done to the X? It was multiplied by $3,150. What is the opposite of multiplication? It is division. Remember that whatever we do to one side of the equal sign we must also do to the other side of the equal sign. </span>

<span>$126 = $3,150X </span>
<span>-------____---------- </span>
<span>$3,150__$3,150 </span>

<span>Any number over itself = 1. Now we have </span>
<span>.04 = X </span>

<span>To change a decimal to a percent move the decimal place two places to the right and add a percent sign. </span>
<span>.04 = 4$. The answer is B</span>
5 0
3 years ago
Can you help me with this problem 5 divided by 0.8 work this out
Alisiya [41]
To make it easy we can multiply 5 and 0.8 times 10 before we start dividing. The result will no change because we multiplying both numbers by the same number.
5*10=50
0.8*10=8
No we can divide 50:8
  6,25 - its the result
50:8
48
  20
  16
    40
    40
      0

Hope that helps.
7 0
4 years ago
Read 2 more answers
Suppose the coordinate of a is 0, ar = 5, and at =7. What are the possible coordinates of the midpoint of rt ?
77julia77 [94]

Here 'a' corresponds to 0.

Now there are two possibilities for 'r' & 't'

Case 1.

They are on the same side to the right of 'a'

In that case 'r'  corresponds to 5 & 't' corresponds to 7.

The midpoint of 'r' and 't' shall be \frac{5+7}{2} =6

Case 2.

Both are on the left of 'a'.

In that case 'r' corresponds to -5 & 't' corresponds to -7

The midpoint shall be \frac{-7-5}{2} =-6

Case 3.

'r' in on the right of 'a' and 't' is on the left of 'a'

So 'r' corresponds to 5 and 't' corresponds to -7

The midpoint shall be \frac{-7+5}{2}=-1

Case 4.

'r' is on the left of 'a' & 't' is on the right of 'a'.

'r' corresponds to -5 & 't' corresponds to 7

The midpoint shall be \frac{-5+7}{2}=1

The possible coordinates of the midpoints of rt are 6, -6, 1, -1.

4 0
4 years ago
I don't understand this question can you help me pls?
Aliun [14]

Answer:

the answer for the number of stickers in all 4 boxes is 1200.

Step-by-step explanation:

there are 100 stickers in each roll and a box has 3 rolls. There are 12 rolls in total so you would do 100 X 12 which is 1200.

8 0
3 years ago
PLEASE HELP ME I NEED IT RN​
lapo4ka [179]

Answer:

(47)  c. given

(48) b. definition of complementary

(49)  a, m<2 = m<3

(50) d. definition of congruent angles

Step-by-step explanation:

From the given question, the proof can be completed as;

Statement                                          Reason

1. <2 and < 1 are complementary     (47)  c. given

   <3 and <1 are complementary

2. m<2 + m<1 = 90^{o}                             (48) b. definition of complementary angles

   m<3 + m<1 = 90^{o}

3. m<2 + m<1 = m<3 + m<1                 3. Substitution property

4. (49)  a, m<2 = m<3                         4. Subtraction property

5. <2 ≅ <3                                           (50) d. definition of congruent angles

Therefore,

(47)  c. given

(48) b. definition of complementary

(49)  a, m<2 = m<3

(50) d. definition of congruent angles

5 0
3 years ago
Other questions:
  • Brinn's rectangular kitchen has an area of 81 square feet. The kitchen is 9 times as many square feet as Brinn's pantry. If the
    12·1 answer
  • 40,897 in expanded form
    13·1 answer
  • Percentage problems
    8·2 answers
  • Solve the equation for a.
    6·2 answers
  • I need help on this
    10·1 answer
  • You drink 8 fluid ounces of milk for breakfast every morning. Write and graph a function that relates the amount y of milk (in f
    5·1 answer
  • Help!!!<br><br> Simplify (3x^2y^5)^3/(2xy^3)^4 show your work
    6·1 answer
  • Find (6) x (-3) <br><br> What is the answer to this?
    14·2 answers
  • HELP ITS THE LAST DAY OF SCHOOL J HAVE 3 MINS
    8·2 answers
  • Mr. Wilson bought gardening supplies for 79.75, not including tax. If the tax rate is 8%, what was the total cost of these garde
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!